Foldover-free maps in 50 lines of code

Mapping a triangulated surface to 2D space (or tetrahedral mesh 3D space) is an important problem in geometry processing. In computational physics, untangling plays role generation: it takes as input, and moves the vertices get rid of foldovers. fact, can be considered special case mapping where object defined map geometric domain not explicit, supposing that each element regular. this paper, we propose method inspired by compare its performance state art. The main advantage our aims at producing locally injective maps, which major challenge mapping. practice, produces maps very difficult settings, both 3D. We demonstrate on large reference database well more stress tests. For better reproducibility, publish code Python for basic evaluation, C++ advanced applications.